What is 6/7 of 86?

How to calculate 6/7 of 86?

1. Multiply the whole number by the numerator of the fraction: 86 × 6 = 516
2. Divide this result by denominator of the fraction: 516/7 = 73.714285714286

Since 516/7 is an improper fraction, the result could also be expressed as a mixed number: 73 5/7

How does it work?

The principle behind finding a fraction of a number, such as 6/7 of 86, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{6}{7}=\frac{x}{86}$ (where x represents 6/7 of 86)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $6\times 86=7x$
2. Which gives: $516=7x$
3. Divide both sides by 7 to isolate x: $\frac{516}{7}=\frac{7x}{7}$
4. Which gives the result: $\frac{516}{7}=x$

Thus, 6/7 of 86 is equal to 516/7 (or 73.714285714286 in its decimal form).